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3 years ago

5

The value of x when 2x+12/7=3x+5/4

2 answers:

lora16 [44]3 years ago

4 0

Answer:

Step-by-step explanation:

$2x+\frac{12}{7}=3x+\frac{5}{4}\\\\2x-3x=\frac{5}{4}-\frac{12}{7}\\\\-x=\frac{5*7}{4*7}-\frac{12*4}{7*4}\\\\-x=\frac{35}{28}-\frac{48}{28}\\\\-x=\frac{35-48}{28}\\\\-x=\frac{-13}{28}\\\\ x=\frac{13}{28}$

Murrr4er [49]3 years ago

3 0

Answer:

$x = \frac{13}{28}$

For further explanation see the picture attached...

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How to estimate 96 Times 34 what is the answer

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When it says to estimate, I always think of doing it by hand to show work. So set it up like this:

96

<u>x 34</u>

So follow it out multiplying across 4*6 and 4*9 carrying over as needed to get it to look like this:

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Do the same for the 3 to get this:

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3 years ago

Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.

alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes $m_1$ and $m_2$ are parallel when $m_1=m_2$ and are perpendicular when $m_1*m_2=-1$

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

$\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}$

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

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3 years ago